For a process at constant pressure, 24,800 calories of heat are released. This quantity of heat is equivalent to how many joules?

(Note: To provide a complete response, a question must be explicitly stated. For context, 1 calorie is approximately 4.184 joules.)



Answer :

To convert the heat released from calories to joules, we use the conversion factor between calories and joules:

1 calorie is equivalent to 4.184 joules.

Given:
- The amount of heat released, [tex]\( Q \)[/tex], is 24,800 calories.

To find the equivalent energy in joules, we multiply the given calories by the conversion factor:

[tex]\[ Q \, \text{(in joules)} = Q \, \text{(in calories)} \times \text{Conversion factor (joules per calorie)} \][/tex]

Substituting the given values:

[tex]\[ Q \, \text{(in joules)} = 24,800 \, \text{cal} \times 4.184 \, \frac{\text{joules}}{\text{cal}} \][/tex]

Multiplying these values:

[tex]\[ Q \, \text{(in joules)} = 24,800 \times 4.184 \][/tex]

[tex]\[ Q \, \text{(in joules)} = 103,763.2 \, \text{joules} \][/tex]

Therefore, the quantity of heat released, 24,800 calories, is equivalent to 103,763.2 joules.